Growth quenches are mapped to operator growth via the Krylov method, yielding a conjecture of linear Lanczos coefficients, localization criteria in Krylov and Fock space, a Lyapunov-exponent bound, and explicit realizations in SYK-inspired and East-West models.
AC Fingerprints of 2D Elec- tron Hydrodynamics: Superdiffusion and Drude Weight Suppression,
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Vertex corrections to nonlocal correlation functions vanish at zero wavevector under inversion symmetry and for quadratic dispersions at all wavevectors, with explicit expressions for density, current, and stress responses derived for both Fermi and non-Fermi liquids under local self-energies and En
Finite-temperature energy transport in the PXP model exhibits a crossover from single-magnon coherent dynamics to superdiffusive hydrodynamics with activated damping time separating the regimes.
A linearized Boltzmann model in five-terminal geometry shows current partition diagnoses ballistic-hydrodynamic-Ohmic crossover and extracts momentum-relaxing and conserving scattering rates.
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Quantum Quenches that Resemble Operator Growth
Growth quenches are mapped to operator growth via the Krylov method, yielding a conjecture of linear Lanczos coefficients, localization criteria in Krylov and Fock space, a Lyapunov-exponent bound, and explicit realizations in SYK-inspired and East-West models.
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The flow of local quantum fluids: Conservation laws and vertex corrections from many-body linear-response theory with local self-energy
Vertex corrections to nonlocal correlation functions vanish at zero wavevector under inversion symmetry and for quadratic dispersions at all wavevectors, with explicit expressions for density, current, and stress responses derived for both Fermi and non-Fermi liquids under local self-energies and En
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Finite-temperature crossover from coherent magnons to energy superdiffusion in the PXP model
Finite-temperature energy transport in the PXP model exhibits a crossover from single-magnon coherent dynamics to superdiffusive hydrodynamics with activated damping time separating the regimes.
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Characterizing electronic scattering rates with transport in multiterminal devices
A linearized Boltzmann model in five-terminal geometry shows current partition diagnoses ballistic-hydrodynamic-Ohmic crossover and extracts momentum-relaxing and conserving scattering rates.